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Standard IX
Mathematics
RS Agarwal
Question
Evaluate:
(
99
)
3
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Solution
Verified by Toppr
We know that,
(
a
+
b
)
3
=
a
3
+
b
3
+
3
b
(
a
+
b
)
we get,
(
99
)
3
=
(
100
−
1
)
3
By using the formula,
=
100
3
−
1
3
+
3
(
100
)
(
1
)
(
100
−
1
)
=
1000000
−
1
−
300
(
99
)
On further calculation,
=
1000000
−
1
−
29700
=
970299
∴
(
99
)
3
=
970299
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